Time Elapsed during Charging Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time Elapsed = -Time Constant*ln((Charging Current at any Time*Resistance of the Charging Circuit)/Voltage of Power Supply)
tc = -𝜏c*ln((ic*Rc)/V0)
This formula uses 1 Functions, 5 Variables
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Time Elapsed - (Measured in Second) - Time elapsed after a particular task is started.
Time Constant - (Measured in Second) - Time Constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.
Charging Current at any Time - (Measured in Ampere) - Charging current at any time t is the current at any given instance of time.
Resistance of the Charging Circuit - (Measured in Ohm) - Resistance of the charging circuit is the resistance of the charging circuit.
Voltage of Power Supply - (Measured in Volt) - Voltage of power supply is the voltage required to charge a given device within given time.
STEP 1: Convert Input(s) to Base Unit
Time Constant: 100 Second --> 100 Second No Conversion Required
Charging Current at any Time: 6 Ampere --> 6 Ampere No Conversion Required
Resistance of the Charging Circuit: 0.18 Ohm --> 0.18 Ohm No Conversion Required
Voltage of Power Supply: 1.2 Volt --> 1.2 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tc = -𝜏c*ln((ic*Rc)/V0) --> -100*ln((6*0.18)/1.2)
Evaluating ... ...
tc = 10.5360515657826
STEP 3: Convert Result to Output's Unit
10.5360515657826 Second --> No Conversion Required
FINAL ANSWER
10.5360515657826 10.53605 Second <-- Time Elapsed
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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5 Charging Current for EDM Calculators

Power Supply during Charging
Go Voltage of Power Supply = (Resistance of the Charging Circuit*Charging Current at any Time)/(exp(-Time Elapsed/Time Constant))
Resistance of Charging Circuit
Go Resistance of the Charging Circuit = (Voltage of Power Supply*exp(-Time Elapsed/Time Constant))/Charging Current at any Time
Time Constant from Charging Current
Go Time Constant = -Time Elapsed/ln((Charging Current at any Time*Resistance of the Charging Circuit)/Voltage of Power Supply)
Time Elapsed during Charging
Go Time Elapsed = -Time Constant*ln((Charging Current at any Time*Resistance of the Charging Circuit)/Voltage of Power Supply)
Charging Current in Relaxation Circuit
Go Charging Current at any Time = Voltage of Power Supply/Resistance of the Charging Circuit*exp(-Time Elapsed/Time Constant)

Time Elapsed during Charging Formula

Time Elapsed = -Time Constant*ln((Charging Current at any Time*Resistance of the Charging Circuit)/Voltage of Power Supply)
tc = -𝜏c*ln((ic*Rc)/V0)

How is the spark produced in Electric Discharge Machining?

A typical circuit used for supplying the power to an EDM machine is named as the relaxation circuit. The circuit consists of a DC power source, which charges the capacitor ‘C’ across a resistance ‘Rc’. Initially when the capacitor is in the uncharged condition, when the power supply is on with a voltage of Vo, a heavy current, ic, will flow in the circuit as shown to charge the capacitor.The relaxation circuit as explained above was used in the early EDM machines. They are limited to the low material removal rates for fine finish, which limits its application. This can be explained from the fact that the time spent on charging the capacitor is quite large during which time, no machining can actually take place. Thus the material removal rates are low.

How to Calculate Time Elapsed during Charging?

Time Elapsed during Charging calculator uses Time Elapsed = -Time Constant*ln((Charging Current at any Time*Resistance of the Charging Circuit)/Voltage of Power Supply) to calculate the Time Elapsed, The Time elapsed during charging formula is defined as the time elapsed since the commencement of the task to provide sparking power to EDM electrode. Time Elapsed is denoted by tc symbol.

How to calculate Time Elapsed during Charging using this online calculator? To use this online calculator for Time Elapsed during Charging, enter Time Constant (𝜏c), Charging Current at any Time (ic), Resistance of the Charging Circuit (Rc) & Voltage of Power Supply (V0) and hit the calculate button. Here is how the Time Elapsed during Charging calculation can be explained with given input values -> 10.53605 = -100*ln((6*0.18)/1.2).

FAQ

What is Time Elapsed during Charging?
The Time elapsed during charging formula is defined as the time elapsed since the commencement of the task to provide sparking power to EDM electrode and is represented as tc = -𝜏c*ln((ic*Rc)/V0) or Time Elapsed = -Time Constant*ln((Charging Current at any Time*Resistance of the Charging Circuit)/Voltage of Power Supply). Time Constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate, Charging current at any time t is the current at any given instance of time, Resistance of the charging circuit is the resistance of the charging circuit & Voltage of power supply is the voltage required to charge a given device within given time.
How to calculate Time Elapsed during Charging?
The Time elapsed during charging formula is defined as the time elapsed since the commencement of the task to provide sparking power to EDM electrode is calculated using Time Elapsed = -Time Constant*ln((Charging Current at any Time*Resistance of the Charging Circuit)/Voltage of Power Supply). To calculate Time Elapsed during Charging, you need Time Constant (𝜏c), Charging Current at any Time (ic), Resistance of the Charging Circuit (Rc) & Voltage of Power Supply (V0). With our tool, you need to enter the respective value for Time Constant, Charging Current at any Time, Resistance of the Charging Circuit & Voltage of Power Supply and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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